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Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write

Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

Use double point formula and simplify it to get two eqaution.
Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

~ Keep all values.

$(y + 4) = \frac{11 + 4}{2 + 1} (x + 1)$

~ Simplify it.

$y + 4 = \frac{15}{3} (x + 1)$

$y + 4 = 5x + 5$

$5x - y + 1 = 0$

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

$(y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1)$

~ Keep all values.

$(y - 1) = \frac{10 - 1}{4 - 1} (x - 1)$

~ Simplify it.

$y - 1 = 3 x - 3$

$3x - y - 2 = 0$

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

$m1 = \frac{ - coeff. \: of \: x}{coeff \: of \: y}$

$m1 = \frac{ - 5}{ - 1}$

Therefore, m1 = 5

Slope of second equation.

$m2 = \frac{ - coeff \: .of \: x}{coeff \: .of \: y}$

$m2 = \frac{ - 3}{ - 1}$

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

Hope it helps...

6 0

3 years ago

a person can pay $27 for a membership to the science museum and then go to the stamp for just $1 per visit what is the maximum n

Brut [27]

Answer:

ummm...

Step-by-step explanation:

idk

6 0

3 years ago

The rungs of a ladder are 1 1/2 feet apart. How high will you be if you climb to the 9th rung?

Readme [11.4K]

It is 13.5 Simiply multiply nine times 1 1/2. An easier way to did this might be making one half into a decimal 1.5

3 0

3 years ago

98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st

Vlada [557]

Answer:

12/14

Step-by-step explanation:

it says 12 do the high jump and 14 do the long jump so it will be 12/4

5 0

3 years ago

Write 17,390,000 in expanded form

scoray [572]

Answer:

The expanded form is:

17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

Step-by-step explanation:

Expanded form is a way of writing numbers with the mathematics value of digits.

Ex: 7,327 in expanded form is 7,000 + 300 + 20 + 7 = 7,327

So you can write any number in expanded form by adding the values of its digits places

Let us solve the question

The number is 17,390,000

∵ The first digit 1 is in ten-millions place

∴ Its value = 10,000,000

∵ The second digit 7 is in the millions place

∴ Its value = 7,000,000

∵ The third digit 3 is in the hundred-thousands place

∴ Its value = 300,000

∵ The fourth digit 9 is in the ten-thousands

∴ Its value = 90,000

Add all of them

∴ 17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

The expanded form is

17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

7 0

3 years ago